{
 "metadata": {
  "name": "",
  "signature": "sha256:7bd00720050ed2a3657363e38f1e369105d66f3738b7a484e8db28626c8d8a4e"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "i=1\n",
      "print \"Enter a positive integer: \"\n",
      "n = int(raw_input())\n",
      "s=0\n",
      "while (i <= n):\n",
      "    s += i\n",
      "    i += 1\n",
      "print \"The sum of the first %d integers is %d\" %(i,s)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Enter a positive integer: \n"
       ]
      },
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "5\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "The sum of the first 6 integers is 15\n"
       ]
      }
     ],
     "prompt_number": 1
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "\n",
      "print \"Enter a positive integer: \"\n",
      "bound = int(raw_input())\n",
      "s=0.0\n",
      "i=0\n",
      "while (s < bound):\n",
      "    i += 1\n",
      "    s += 1.0/i\n",
      "\n",
      "print \"The sum of the first %d reciprocals is %f\" %(i,s)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Enter a positive integer: \n"
       ]
      },
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "5\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "The sum of the first 83 reciprocals is 5.002068\n"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "import math\n",
      "print \"Enter a positive number: \"\n",
      "x = float(raw_input())\n",
      "while (x > 0):\n",
      "    print \"sqrt(%d) = %f \"%(x,math.sqrt(x))\n",
      "    print \"Enter another positive number (or 0 to quit): \"\n",
      "    x = float(raw_input())\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Enter a positive number: \n"
       ]
      },
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "5\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "sqrt(5) = 2.236068 \n",
        "Enter another positive number (or 0 to quit): \n"
       ]
      },
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "3\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "sqrt(3) = 1.732051 \n",
        "Enter another positive number (or 0 to quit): \n"
       ]
      },
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "0\n"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "i=1\n",
      "print \"Enter a positive integer: \";\n",
      "n = int(raw_input())\n",
      "s=0\n",
      "while(True):\n",
      "    if (i > n):\n",
      "        break # terminates the loop immediately\n",
      "    s += i\n",
      "    i += 1\n",
      "print \"The sum of the first %d integers is %d\" %(n,s)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Enter a positive integer: \n"
       ]
      },
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "5\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "The sum of the first 5 integers is 15\n"
       ]
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "print \"Enter a positive integer: \"\n",
      "bound = int(raw_input())\n",
      "print \"Fibonacci numbers < %d:\\n0, 1\"  % bound ,\n",
      "f0=0\n",
      "f1=1\n",
      "while (True):\n",
      "    f2 = f0 + f1\n",
      "    if (f2 > bound):\n",
      "        break\n",
      "    print \", %d\" % f2,\n",
      "    f0 = f1\n",
      "    f1 = f2\n",
      "                                                                                                                  "
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Enter a positive integer: \n"
       ]
      },
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "10\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Fibonacci numbers < 10:\n",
        "0, 1 , 1 , 2 , 3 , 5 , 8\n"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "import sys\n",
      "print \"Enter a positive integer: \"\n",
      "bound = int(raw_input())\n",
      "print \"Fibonacci numbers < %d:\\n0, 1\"  % bound ,\n",
      "f0=0\n",
      "f1=1\n",
      "while (True):\n",
      "    f2 = f0 + f1\n",
      "    if (f2 > bound):\n",
      "        sys.exit(0)\n",
      "    print \", %d\" % f2,\n",
      "    f0 = f1\n",
      "    f1 = f2\n",
      "                           "
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Enter a positive integer: \n"
       ]
      },
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "10\n"
       ]
      },
      {
       "ename": "SystemExit",
       "evalue": "0",
       "output_type": "pyerr",
       "traceback": [
        "An exception has occurred, use %tb to see the full traceback.\n",
        "\u001b[1;31mSystemExit\u001b[0m\u001b[1;31m:\u001b[0m 0\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Fibonacci numbers < 10:\n",
        "0, 1 , 1 , 2 , 3 , 5 , 8"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "To exit: use 'exit', 'quit', or Ctrl-D.\n"
       ]
      }
     ],
     "prompt_number": 7
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "\n",
      "print \"Enter a positive integer: \"\n",
      "bound = int(raw_input())\n",
      "print \"Fibonacci numbers < %d:\\n0, 1\"  % bound ,\n",
      "f0=0\n",
      "f1=1\n",
      "# Error : infinite loop !\n",
      "while (True):\n",
      "    f2 = f0 + f1\n",
      "    # By commenting the below if statement, it goes to infinite.\n",
      "    if (f2 > bound):\n",
      "        break\n",
      "    print \", %d\" % f2,\n",
      "    f0 = f1\n",
      "    f1 = f2"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Enter a positive integer: \n"
       ]
      },
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "10\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Fibonacci numbers < 10:\n",
        "0, 1 , 1 , 2 , 3 , 5 , 8\n"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "\n",
      "print \"Enter a positive integer: \"\n",
      "bound = int(raw_input())\n",
      "print \"Fibonacci numbers < %d:\\n0, 1\"  % bound ,\n",
      "f0=0\n",
      "f1=1\n",
      "# Error : infinite loop !\n",
      "while (True):\n",
      "    f2 = f0 + f1\n",
      "    # By commenting the below if statement, it goes to infinite.\n",
      "    if (f2 > bound):\n",
      "        break\n",
      "    print \", %d\" % f2,\n",
      "    f0 = f1\n",
      "    f1 = f2"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Enter a positive integer: \n",
        "Fibonacci numbers < 10:\n",
        "0, 1 , 1 , 2 , 3 , 5 , 8\n"
       ]
      }
     ],
     "prompt_number": 1
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "i=0\n",
      "print \"Enter a positive integer: \"\n",
      "n = int(raw_input())\n",
      "s=0\n",
      "while i<=n:\n",
      "    s += i\n",
      "    i += 1\n",
      "print \"The sum of the first %d integers is %d\" %(n,s)\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Enter a positive integer: \n"
       ]
      },
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "10\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "The sum of the first 10 integers is 55\n"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "print \"Enter a positive integer: \"\n",
      "bound = int(raw_input())\n",
      "print \"Factorial numbers < %d:\\n1, 1\" %bound,\n",
      "f=1\n",
      "i=1\n",
      "while f < bound:\n",
      "    i += 1\n",
      "    f *= i\n",
      "    print \", %d\" %f,\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Enter a positive integer: \n"
       ]
      },
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "10\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Factorial numbers < 10:\n",
        "1, 1 , 2 , 6 , 24\n"
       ]
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "\n",
      "print \"Enter a positive integer: \"\n",
      "n = int(raw_input())\n",
      "s=0;\n",
      "for i in range(0,n+1):\n",
      "    s += i\n",
      "print \"The sum of the first %d integers is %d\" %(n,s)\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Enter a positive integer: \n"
       ]
      },
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "10\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "The sum of the first 10 integers is 55\n"
       ]
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "print \"Enter a positive integer: \"\n",
      "n = int(raw_input())\n",
      "s=0\n",
      "for i in range(1,n/2): # the scope of this i is this loop\n",
      "    s += i\n",
      "\n",
      "for i in range(n/2,n+1): # the scope of this i is this loop\n",
      "    s += i\n",
      "print \"The sum of the first %d integers is %d\" % (n,s)\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Enter a positive integer: \n"
       ]
      },
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "10\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "The sum of the first 10 integers is 55\n"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "print \"Enter a positive integer: \"\n",
      "bound = int(raw_input())\n",
      "\n",
      "print \"Factorial numbers that are <= %d:\\n1, 1\" %bound,\n",
      "f=1\n",
      "for i in range(2,bound+1):\n",
      "    f *= i\n",
      "    print \", %d\" % f,\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Enter a positive integer: \n"
       ]
      },
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "10\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Factorial numbers that are <= 10:\n",
        "1, 1 , 2 , 6 , 24 , 120 , 720 , 5040 , 40320 , 362880 , 3628800\n"
       ]
      }
     ],
     "prompt_number": 7
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "for i in range(10,0,-1):\n",
      "    print  i,\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "10 9 8 7 6 5 4 3 2 1\n"
       ]
      }
     ],
     "prompt_number": 8
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "prime = True\n",
      "print \"Enter a positive integer: \"\n",
      "n = int(raw_input())\n",
      "if (n < 2):\n",
      "    print \"%d is not prime.\" %n\n",
      "    prime = False\n",
      "elif (n < 4):\n",
      "    print \"%d is prime.\" %n\n",
      "    prime = False\n",
      "elif (n%2 == 0):\n",
      "    print \"%d = 2* %d\" %(n,n/2)\n",
      "    prime = False\n",
      "else:\n",
      "    for d in range(3,n/2+1):\n",
      "        if (n%d == 0):\n",
      "            print \"%d = %d * %d\" %(n,d,n/d)\n",
      "            prime = False\n",
      "if prime:            \n",
      "    print \"%d is prime.\"%n\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Enter a positive integer: \n"
       ]
      },
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "11\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "11 is prime.\n"
       ]
      }
     ],
     "prompt_number": 9
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "print \"Enter positive integers (0 to quit): \";\n",
      "n = int(raw_input())\n",
      "m = n\n",
      "while n > 0:\n",
      "    n = int(raw_input())\n",
      "    if n > m :\n",
      "        m = n\n",
      "\n",
      "print \"max = %d\" % m"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Enter positive integers (0 to quit): \n"
       ]
      },
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "5\n"
       ]
      },
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "19\n"
       ]
      },
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "42\n"
       ]
      },
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "1\n"
       ]
      },
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "0\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "max = 42\n"
       ]
      }
     ],
     "prompt_number": 10
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "print \"Enter positive integers (0 to quit): \";\n",
      "n = int(raw_input())\n",
      "m = n\n",
      "while n > 0:    \n",
      "    if n < m :\n",
      "        m = n\n",
      "    n = int(raw_input())\n",
      "\n",
      "print \"min = %d\" % m\n",
      "\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Enter positive integers (0 to quit): \n"
       ]
      },
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "5\n"
       ]
      },
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "19\n"
       ]
      },
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "42\n"
       ]
      },
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "1\n"
       ]
      },
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "0\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "min = 1\n"
       ]
      }
     ],
     "prompt_number": 11
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "\n",
      "m = 95\n",
      "n = 11\n",
      "while m%n > 0:\n",
      "    print \"%d modulo %d = %d\" %(m,n,m%n)\n",
      "    m -= 3\n",
      "    n += 1\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "95 modulo 11 = 7\n",
        "92 modulo 12 = 8\n",
        "89 modulo 13 = 11\n",
        "86 modulo 14 = 2\n",
        "83 modulo 15 = 8\n"
       ]
      }
     ],
     "prompt_number": 12
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "for x in range(1,13):\n",
      "    for y in range(1,13):\n",
      "        print \"%4d\" % (x*y),\n",
      "    print \"\"\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "   1    2    3    4    5    6    7    8    9   10   11   12 \n",
        "   2    4    6    8   10   12   14   16   18   20   22   24 \n",
        "   3    6    9   12   15   18   21   24   27   30   33   36 \n",
        "   4    8   12   16   20   24   28   32   36   40   44   48 \n",
        "   5   10   15   20   25   30   35   40   45   50   55   60 \n",
        "   6   12   18   24   30   36   42   48   54   60   66   72 \n",
        "   7   14   21   28   35   42   49   56   63   70   77   84 \n",
        "   8   16   24   32   40   48   56   64   72   80   88   96 \n",
        "   9   18   27   36   45   54   63   72   81   90   99  108 \n",
        "  10   20   30   40   50   60   70   80   90  100  110  120 \n",
        "  11   22   33   44   55   66   77   88   99  110  121  132 \n",
        "  12   24   36   48   60   72   84   96  108  120  132  144 \n"
       ]
      }
     ],
     "prompt_number": 13
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "import math\n",
      "\n",
      "\n",
      "print \"Enter a positive integer: \"\n",
      "n = int(raw_input())\n",
      "d=0 # the discrete binary logarithm of n\n",
      "p2d=1  # = 2^d\n",
      "i = n\n",
      "while i > 1:\n",
      "    # INVARIANT: 2^d <= n/i < 2*2^d\n",
      "    p2d=math.pow(2,d) # = 2^d\n",
      "    print \"%2d  <= %2d\" %(p2d,2*p2d)\n",
      "    i /= 2\n",
      "    d += 1\n",
      "\n",
      "p2d=math.pow(2,d) # = 2^d\n",
      "print \"%2d  <= %2d < %2d\" %(p2d,n,2*p2d)\n",
      "print \" The discrete binary logarithm of is %d\" % d \n",
      "lgn = math.log(n)/math.log(2) # base 2 logarithm\n",
      "print \"The continuous binary logarithm of is %f\" % lgn"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Enter a positive integer: \n"
       ]
      },
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "17\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        " 1  <=  2\n",
        " 2  <=  4\n",
        " 4  <=  8\n",
        " 8  <= 16\n",
        "16  <= 17 < 32\n",
        " The discrete binary logarithm of is 4\n",
        "The continuous binary logarithm of is 4.087463\n"
       ]
      }
     ],
     "prompt_number": 14
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "i=1\n",
      "print \"Enter a positive integer: \"\n",
      "n = int(raw_input())\n",
      "s=0\n",
      "while (True):\n",
      "    if (i > n):\n",
      "        break\n",
      "    s += i\n",
      "    i += 1\n",
      "\n",
      "print \"The sum of the first %d integers is %d\" %(i,s)\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Enter a positive integer: \n"
       ]
      },
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "10\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "The sum of the first 11 integers is 55\n"
       ]
      }
     ],
     "prompt_number": 15
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "count=0\n",
      "s=0\n",
      "print \"Enter positive integers (0 to quit):\" \n",
      "while True: # \"forever\"\n",
      "    print \"\\t %d :\" %(count + 1),\n",
      "    n = int(raw_input())\n",
      "    if (n <= 0):\n",
      "        break\n",
      "    count += 1\n",
      "    s += n\n",
      "\n",
      "print \"The average of those %d positive numbers is \" %count,\n",
      "print float(s)/count\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Enter positive integers (0 to quit):\n",
        "\t 1 :"
       ]
      },
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "12\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        " \t 2 :"
       ]
      },
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "32\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        " \t 3 :"
       ]
      },
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "11\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        " \t 4 :"
       ]
      },
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "0\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        " The average of those 3 positive numbers is  18.3333333333\n"
       ]
      }
     ],
     "prompt_number": 16
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "for x in range(1,13):\n",
      "    for y in range(1,13):\n",
      "        if y>x:\n",
      "            break\n",
      "        else:\n",
      "            print '%4d' %(x*y),\n",
      "    print ''\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "   1 \n",
        "   2    4 \n",
        "   3    6    9 \n",
        "   4    8   12   16 \n",
        "   5   10   15   20   25 \n",
        "   6   12   18   24   30   36 \n",
        "   7   14   21   28   35   42   49 \n",
        "   8   16   24   32   40   48   56   64 \n",
        "   9   18   27   36   45   54   63   72   81 \n",
        "  10   20   30   40   50   60   70   80   90  100 \n",
        "  11   22   33   44   55   66   77   88   99  110  121 \n",
        "  12   24   36   48   60   72   84   96  108  120  132  144 \n"
       ]
      }
     ],
     "prompt_number": 17
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "while True:\n",
      "    n = int(raw_input('Enter int : '))\n",
      "    if (n%2 == 0):\n",
      "        continue\n",
      "    if (n%3 == 0):\n",
      "        break\n",
      "    print \"\\tBottom of loop.\\n\"\n",
      "print \"\\tOutside of loop.\\n\"\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Enter int : 5\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\tBottom of loop.\n",
        "\n"
       ]
      },
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Enter int : 4\n"
       ]
      },
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Enter int : 6\n"
       ]
      },
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Enter int : 9\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\tOutside of loop.\n",
        "\n"
       ]
      }
     ],
     "prompt_number": 18
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "N=5\n",
      "done=False\n",
      "for i in range(N):\n",
      "    for j in range(N):\n",
      "        if done:\n",
      "            break\n",
      "        for k in range(N):\n",
      "            if done:\n",
      "                break\n",
      "            if (i+j+k>N):\n",
      "                done = True\n",
      "            else:\n",
      "                print i+j+k,\n",
      "                print \" \",\n",
      "        print \"* \"\n",
      "    print \".\" \n",
      "    done = False\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "0   1   2   3   4   * \n",
        "1   2   3   4   5   * \n",
        "2   3   4   5   * \n",
        ".\n",
        "1   2   3   4   5   * \n",
        "2   3   4   5   * \n",
        ".\n",
        "2   3   4   5   * \n",
        ".\n",
        "3   4   5   * \n",
        ".\n",
        "4   5   * \n",
        ".\n"
       ]
      }
     ],
     "prompt_number": 19
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "N=5\n",
      "done=False\n",
      "for i in range(N):\n",
      "    for j in range(N):\n",
      "        if done:\n",
      "            break\n",
      "        for k in range(N):\n",
      "            if done:\n",
      "                break\n",
      "            if (i+j+k>N):\n",
      "                done = True\n",
      "            else:\n",
      "                print i+j+k,\n",
      "                print \" \",\n",
      "        print \"* \"\n",
      "    print \".\" \n",
      "    done = False\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "0   1   2   3   4   * \n",
        "1   2   3   4   5   * \n",
        "2   3   4   5   * \n",
        ".\n",
        "1   2   3   4   5   * \n",
        "2   3   4   5   * \n",
        ".\n",
        "2   3   4   5   * \n",
        ".\n",
        "3   4   5   * \n",
        ".\n",
        "4   5   * \n",
        ".\n"
       ]
      }
     ],
     "prompt_number": 20
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "import random\n",
      "\n",
      "# prints pseudo-random numbers:\n",
      "\n",
      "for i in range(0,8):\n",
      "    print random.random()\n",
      "\n",
      "    "
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "0.702115758628\n",
        "0.969460447904\n",
        "0.409934401112\n",
        "0.700339443791\n",
        "0.093528851602\n",
        "0.132172955687\n",
        "0.0162887279366\n",
        "0.943010713478\n"
       ]
      }
     ],
     "prompt_number": 21
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "import random\n",
      "# prints pseudo-random numbers:\n",
      "print \"Enter seed: \"\n",
      "seed = int(raw_input())\n",
      "random.seed(seed);\n",
      "for i in range(0,8):\n",
      "    print random.random()\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Enter seed: \n"
       ]
      },
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "5\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "0.62290169489\n",
        "0.741786989261\n",
        "0.795193565566\n",
        "0.942450283777\n",
        "0.73989857474\n",
        "0.922324996665\n",
        "0.0290052282836\n",
        "0.465622654378\n"
       ]
      }
     ],
     "prompt_number": 22
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "import random\n",
      "for i in range(0,8):\n",
      "    print random.random()\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "0.943356716998\n",
        "0.648974553137\n",
        "0.900900491751\n",
        "0.113205964653\n",
        "0.469069047782\n",
        "0.24657283262\n",
        "0.543760859236\n",
        "0.573941187928\n"
       ]
      }
     ],
     "prompt_number": 23
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "import random\n",
      "print \"Enter minimum and maximum: \"\n",
      "m = int(raw_input())\n",
      "n = int(raw_input())\n",
      "# lowest and highest numbers\n",
      "r = n - m + 1\n",
      "# number of numbers in range\n",
      "for i in range(0,20):\n",
      "    j = int(random.random()*100 % r + m)\n",
      "    print  j,\n",
      "    print  \" \",\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Enter minimum and maximum: \n"
       ]
      },
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "5\n"
       ]
      },
      {
       "name": "stdout",
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "15\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "6   15   10   8   15   9   7   7   11   6   5   15   14   15   15   15   11   13   14   6  \n"
       ]
      }
     ],
     "prompt_number": 24
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": []
    }
   ],
   "metadata": {}
  }
 ]
}